NTSE Sample Papers for Class 10 - Stage II - MAT

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MENTAL ABILITY TEST (For Students of Class X) Time allowed : 45 Min.Maximum Marks : 50 1.

Ans. Sol.

2. Ans. Sol.

Here are some words translated from an artificial language mie pie is blue light mie tie is blue berry aie tie is rasp berry Which words could possibly mean “light fly”? (1) pie zie (2) pie mie (3) aie zie (1) light means pie. & mie can not fly. So, that ‘light fly’ means can be pie zie.

(4) aie mie

If in certain code, STUDENT is written as RSTEDMS, then how would TEACHER be written in the same code ? (1) SZZDGEQ (2) SZDDGEQ (3) SDZDGDQ (4) SDZCGDQ (3)

Similarly

3. Ans. Sol. 4

Which group of letters is different from others ? (1) CBAED (2) IJHGK (4) In this option T, V, W, Y, Z are not continuous.

(3) SRQPT

(4) TVWYZ

Ans. Sol.

In the following letter sequence, some of the letters are missing. These are given in order as one of the alternatives below. Choose the correct alternative.  (1)  (2)  (3)  (4)  (2)  ………….

5.

Fill in the missing number –C 2A –3C

Ans. Sol.

(1) –3C (3) missing term is 3c.

2B ? –A

–3A –B –2B (2) –2C

(3) 3C

(4) 2B

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6.

Ans. Sol. 7.

Vimla used to board the train from Metro Station A for going to her office. Since Station A is a terminus. she had no problem in getting a seat. Ever since she shifted to Locality B she finds it difficult to get a seat, as by the time the train reaches Locality B it becomes crowded. Find the statement among the alternatives which must be true as per the given information. (1) Vimla would prefer to take a bus rather than the metro (2) Vimla’s travel to office has become less comfortable ever since she has shifted. (3) Commuters staying in and around Locality B would demand metro services originating from station near Locality B. (4) Vimla would look for a job close to her home. (2) Simple logic.

Ans. Sol.

Ramesh started going for regular morning walks for controlling his blood sugar level. He did so for a month and also started taking Yoga lessons, without going for any pathological examination. He underwent pathological test after two months and found that the blood sugar level has come down. Presuming that he had no changed his food habits during these two months, which statement among the alternatives given below follows most logically ? (1) Blood sugar level comes down after doing regular morning walk. (2) Blood sugar level comes down after doing Yoga. (3) Blood sugar level comes down on doing regular morning walk and Yoga (4) Regular morning walk, Yoga or both may bring down sugar level despite not changing food habits. (4) Simple logic.

8.

Find the number in the position of ‘?’.

Ans. Sol.

(1) 41 (1)

(2) 45 52 + 122 82 + 152 2 2 7 + 24 2 2 9 + 40

(3) 50

(4) 52

(2) 3

(3) 5

(4) 6

= 121 = 100 = 11, 100 = 10 =1 = 169 = 81 = 13, 81 = 9 =4 = 144 = 49 = 12, 49 = 7 = 5.

and

= 132 = 172 2 = 25 2 = 41

9.

Identify the number in the position of ‘?’

Ans. Sol.

(1) 2 (3) 

i.e. 

i.e. 

i.e.

60 + 61 45 + 55 (121) 11 – 10 82 + 87 49 + 32 169 13 – 9 79 + 65 37 + 12 144 12 – 7

and

and

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10.

Ans. Sol.

Find the next number in the sequence 0, 2, 24, 252 . ______ (1) 620 (2) 1040 (3) 3120 (4) 5430 (3) 1 2 3 4 5 1 – 1, 2 – 2, 3 – 3, 4 – 4, 5 – 5.

11.

Find the next number in the sequence 6, 24, 60, 120 ______ (1) 180 (2) 210 (3) 240 (4) 360

Ans.

(2)

Sol.

12.

Ans. Sol.

Find the letter to be placed in place of ‘?’ in the figure given.

(1) M (1)

i.e. 13.

Ans. Sol.

(2) N 3+4+5 9+6+4 7+1+8 8+3+2

(3) Q

(4) R

= 12  L = 19  S = 16  P = 13  M

In this multiplication question the five letters represent five different digits. What are the actual figures ? There is no zero. SEAM T MEATS (1) M = 3, E = 9, A = 7, T = 4, S = 8 (2) M = 3, E = 9, A = 7, T = 8, S = 4 (3) M = 4, E = 3, A = 9, T = 7, S = 8 (4) M = 4, E = 9, A = 3, T = 7, S = 8 (2)

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14.

Identify which among the pieces given below will not be required to complete the triangular pattern shown below.

Ans.

(1) q (1)

Sol.

q

15.

Find the missing number in the series 2, 10, 26, _____, 242 (1) 80 (2) 81 (3) 2 × 3 + 4 = 10 10 × 3 – 4 = 26 26 × 3 + 4 = 82 82 × 3 – 4 = 242.

Ans. Sol.

16.

(2) r

(3) s

(4) t

(3) 82

(4) 84

A pattern is given below. You have to identify which among the following pieces will not be required to complete the pattern.

Ans.

(1) q (2)

Sol.

r

(2) r

(3) s

(4) t

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17.

Which symbol replaces the ‘?’. Figure below represent a balance.

(1) Ans.

(2)

(3)

(4)

(3)

Sol. 18.

On the basis of the four positions of a dice given below find the colour of the face opposite ‘Yellow’.

Ans. Sol.

(1) Indigo (1) Net pattern will be :

(2) Red

(3) Pink

(4) Blue

i.e. Indigo is opposite to yellow. 19.

If the given figure is folded a form a box, which among the boxes below will be formed ?

(1) Ans. Sol.

(2)

(4) b is opposite to d. a is opposite to f. e is opposite to c. i.e.

is correct.

(3)

(4)

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20.

Two positions of a dice are shown. Which number will appear on the face opposite the one having 5 ?

Ans. Sol.

(1) 1 (4) Net pattern will be :

(2) 2

(3) 4

(4) 6

i.e. 6 is opposite to 5. 21.

In the figure, the circle represents youth, the triangle represents footballers and the rectangle represents athletes. Which letter (s) represent(s) athletes among youths who are not footballers ?

Ans. Sol.

(1) g (1) only g.

22.

Find the odd man out

Ans. Sol.

(1) A (3) C is odd man out.

23.

Identify the number corresponding to the ‘?’

Ans. Sol.

(1) 3 (1)  i.e.  i.e.  i.e.

(2) g and c

(3) f

(4) f and d

(2) B

(3) C

(4) D

(3) 7

(4) 8

(2) 5 108 + 17 7–5 39 + 25 8–4 115 + 101 9–6

3

3

= 125 = (5) and 240 + 103 = 343 = (7) =2 3 3 = 64 = (4) and 309 + 203 = 512 = (8) =4 3 3 = 216 = (6) and 625 + 104 = 729 = (9) = 3.

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24. Ans. Sol. 25.

Ans. Sol. 26.

Ans. Sol.

Which of the given alternative is the mirror image of REASON, if the mirror is placed below the word ? (1) (2) (3) (4) (4) By observation. A sprinter goes off the starting block for 100 m run and at that instant the second- hand of a stopwatch had pointed towards North. He touches the finishing line exactly after 12 seconds. In which direction did the second hand point when he just crossed the finishing line ? (1) 18° North of East (2) 18° East of North (3) 72° North of East (4) 82° East of North (1) After 12 sec, seconds hand will make angle of 72º. i.e. it will be 18º North of East. Two candles are of different lengths and thicknesses. The short and the long ones can burn respectively for 3.5 hour and 5 hours. After burning for 2 hour, the lengths of the candles become equal in length. What fraction of the long candle’s height was the short candle initially ? 2 5 3 4 (1) (2) (3) (4) 7 7 5 5 (2) Let lengths are  1 &  2 and thickness are x1 and x2.  1  3.5 hr and  2  5 hr.      1  2  1  =  2  2  2   3.5   5  3.5 2  21 5 2  2 2 = 3.5 5 1.51 3 2 = 3.5 5 1  3.5  3 7 5 =  or 2 = 2 1 1.5  5 5 7

27.

Ans. Sol.

Mother was asked how many gifts she had in the bag. She replied that there were all dolls but six, all cars but six, and all books but six. How many gifts had she in all ? (1) 9 (2) 18 (3) 27 (4) 36 (1) Let total gift are x. i.e. dolls are = x – 6 cars are = x – 6 books are = x – 6. i.e.

x = 3 (x – 6) x = 3x – 18 18 = 2x x =9

28.

Ans. Sol.

Question given below has a problem and two statements I & II. Decide if the information given in the statement is sufficient for answering the problem: K, R, S and T are four players in Indian Cricket team. Who is the oldest among them? I : The total age of K & T together is more than that of S II : The total age of R & K together is less than that of S. (1) Data in statement I alone is sufficient (2) Data in statement II alone is sufficient (3) Data in both statements together is sufficient (4) Data in both statement together is not sufficient (4) From the given information we can say that R